Ann and Stella want to watch a movie together this weekend. There are 8 movies playing in theatres on Saturday, and 11 movies playing in theatres on Sunday. Ann first chooses a day - either Saturday or Sunday. Then, knowing the day that Ann picked, Stella chooses one movie from those playing in theatres on that day. How many pure strategies does Stella have?
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- Table 9-03. Suppose you are a general in the army. Your country is at war. You are trying to invade the enemy. You can attack on the enemys east coast or the west coast. The enemy has only enough troops to defend one coast. The payoff matrix below represents whether you or the enemy wins (represented by 1) or loses (represented by 0). Enemy Defend east coast Defend west coast Enemy: 1 Enemy: 0 Attack east coast You: 0 You: 1 You Enemy: 0 Enemy: 1 Attack west coast You: 1 You: 0 Refer to Table 9-03. To win the war, O a. you must attack the west coast, only if you have credible information that the enemy is defending the east coast. O b. you must attack the west coast, and information about whether the enemy is defending the east or the west coast is irrelevant to you. c. you must attack the west coast, only if you have credible information that the enemy is defending the west coast. d. you must never attack the west coast, and information about whether the enemy is defending the east or…A buyer and seller trade with each other for an infinite number of periods. Both parties have a discount factor of d, where 0 < d < 1. In each period both parties can play trust (T) or to play selfish (S). If both the buyer and seller play T the payoffs are 4 to each player. If both parties plays the payoffs are 3 to each player. If one player plays S and the other T, the payoffs are 6 to the player who opted for 5 and 1 to the party that opted for T. Consider the following trigger strategy. In the first period play T. In any subsequent period, play T if in every previous period the outcome was (T, T), if not play S. What is the minimum d required for this trigger strategy to be subgame perfect equilibrium? O None of the other answers are correct. O 1/4 O 1/3 O 3/4Jane is interested in buying a car from a used car dealer. Her maximum willingness to pay for thecar is 12 ($12,000). Bo, the dealer, is willing to sell the car as long as he receives at least 9($9,000). What is the Nash bargaining solution to this game?
- Player 1 and Player 2 will play one round of the Rock-Paper-Scissors game. The winner receives a payoff +1, the loser receives a payoff -1. If it is a tie, then each player receives a payoff zero. Suppose Player 2 is using a non-optimal strategy: he/she plays Rock with probability 35%; Paper with probability 45%; and Scissors with probability 20%. Given that Player 1 knows Player 2 is using this strategy, the best response of Player 1 is to play O a mixed strategy with probability 1/3 each (Rock, Paper and Scissors) O Scissors with probability 100% O any strategy (any strategy is a best response for Player 1) O Rock with probability 100% O Paper with probability 100%In game theory, what does the term "payoff" refer to? a) The amount of money each player has at the beginning of the game. b) The final outcome of the game. c) The utility or benefit that a player receives based on the outcome of the game. d) The number of strategies available to each player.Tyler and Pam are arrested and charged with armed robbery. The police interview both suspects separately about their involvement in the crime. Each suspect has to make a decision. They can betray the other suspect by confessing that they both committed the crime, or they can cooperate with the other suspect by remaining silent. The table shows the sentences that Tyler and Pam will receive given their choices. Use the table to answer the question. What will be the dominant strategy outcome for Tyler and Pam? They both get 10 years. Pam gets 5 years, and Tyler gets 15 years. O They both get 12 years. O Tyler gets 5 years, and Pam gets 15 years. Tyler Stay silent Confess Stay silent Pam gets 10 years Tyler gets 10 years Pam gets 15 years Pam Tyler gets 5 years Confess Pam gets 5 years Tyler gets 15 years Pam gets 12 years Tyler gets 12 years
- Olivia is thinking about opening a new bakery (the entrant). There is already a bakery open in her neighborhood (the incumbent), and the owner of the incumbent bakery makes it clear that if Olivia enters the market, they will cut their prices in an attempt to drive the new bakery out of business. Based on the payoff matrix below, is the incumbent’s threat credible? That is, if Olivia opens a new bakery, will the incumbent actually lower their prices? Note: the entrant chooses the row, the incumbent chooses the column High price Low price Enter 1, 2 -1, 1 Don’t enter 0, 10 0, 1 a. Yes, the threat is credible b. No, the threat is not credible7Next Friday, you plan to sell cakes at a bake sale to raise money for your school. You plan to charge $30 per cake, and you anticipate that you will sell 10 cakes. You can either purchase cakes to sell or bake them yourself. If you purchase the cakes, they will cost $25 each. If you bake your own cakes, your cost depends upon the number of cakes you bake, as shown in the table below. Number of cakes you bake Total cost of baked cakes ($) 0 0 1 10 2 22 3 36 4 52 5 70 6 90 7 112 8 136 9 162 10 190 a) How many cakes should you bake? How many cakes should you purchase? Bake ___ cake(s) and purchase ___ cake(s). b) Given your answer to part a, how much in total will the 10 cakes cost you? $ c) How much would it have cost you to bake all 10 cakes? $ d) How much would it have cost you to purchase all 10 cakes? $
- Suppose you were playing the Split or Steal game for a jackpot of $100,000. Which would you choose: Split or Steal? Explain whyTwo supermarkets face the following possibilities. Superstore Advertise Don’t Advertise Megastore Advertise $95, $80 $305, $55 Don’t Advertise $65, $285 $165, $115 47. A Nash equilibrium is Group of answer choices for Megastore to advertise and for Superstore to advertise. for Megastore to advertise and for Superstore not to advertise for Megastore not to advertise and for Superstore to advertise. for Megastore not to advertise and for Superstore not to advertise. There is no Nas equilibrium in this rivalry game.Answer as many parts as you can